258ed12: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
'''[[Ed12|Division of the twelfth harmonic]] into 258 equal parts''' (258ED12) is very nearly identical to [[72edo|72 EDO]], but with the [[12/1]] rather than the 2/1 being just. The octave is about 0.55 [[cent]]s stretched and the step size is about 16.674 cents.
{{ED intro}}


==Harmonics==
== Theory ==
{{Harmonics in equal|258|12|1|prec=2|columns=19}}
258ed12 is very nearly identical to [[72edo]], but with the 12th harmonic rather than the [[2/1|octave]] being just. The octave is about 0.546 [[cent]]s stretched. Like 72edo, 258ed12 is [[consistent]] to the [[integer limit|18-integer-limit]]. While it tunes [[2/1|2]] and [[11/1|11]] sharp, the [[3/1|3]], [[5/1|5]], and [[7/1|7]] remain flat as in 72edo but a little less so. The [[13/1|13]] and [[17/1|17]] are improved compared to 72edo, although the [[19/1|19]] becomes slightly worse.


[[Category:Edonoi]]
=== Harmonics ===
{{Harmonics in equal|258|12|1|intervals=integer|columns=11}}
{{Harmonics in equal|258|12|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 258ed12 (continued)}}
 
== See also ==
* [[72edo]] – relative edo
* [[114edt]] – relative edt
* [[186ed6]] – relative ed6